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Finding the Third Proportional to 306,898,948 and 657,572,840

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Solution

The third proportional to 306,898,948 and 657,572,840 is: 1,408,939,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,898,948 : 657,572,840 = 657,572,840 : x
  2. Step 2: Convert to fraction form
    306,898,948/657,572,840 = 657,572,840/x
  3. Step 3: Cross multiply
    306,898,948x = 657,572,840 × 657,572,840
  4. Step 4: Simplify right side
    306,898,948x = 432,402,039,905,665,600
  5. Step 5: Solve for x
    x = 432,402,039,905,665,600/306,898,948
  6. Step 6: Final answer
    x = 1,408,939,465.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.